Larson Precalculus with Limits: A Graphing Approach, 5th Edition

Larson Precalculus with Limits: A Graphing Approach ... Larson Precalculus with Limits: A Graphing ...

ISBN: 9780618851522 / 0618851526

Table of Contents

Chapter 1

Functions And Their Graphs: Introduction To Library ...

1.1 Lines in the Planes Lines in the Plane p.11
1.2 Functions Functions p.24
1.3 Graphs of the Functions Graphs of Functions p.38
1.4 Shifting, Reflecting, and Stretching Graphs Shifting, Reflecting, and Stretching Graphs p.48
1.5 Combination of Functions Combinations of Functions p.58
1.6 Inverse Functions Inverse Functions p.69
1.7 Linear Models and Scatter Plots Linear Models and Scatter Plots p.78
Review Exercises Chapter 1 p.83
Chapter 1 Test p.88

Chapter 2

Polynomial And Rational Functions

2.1 Quadratic Functions Quadratic Functions p.99
2.2 Polynomial Functions of Higher Degree Polynomial Functions of Higher Degree p.112
2.3 Real Zeros of Polynomial Functions Exercises p.127
2.4 Complex Numbers Complex Numbers p.137
2.5 The Fundamental Theorem of Algebra The Fundamental Theorem of Algebra p.144
2.6 Rational Functions and Asymptotes Rational Functions and Asymptotes p.152
2.7 Graphs of Rational Functions Graphs of Rational Functions p.161
2.8 Quadratic Models Quadratic Models p.169
Review Exercises Chapter 2 p.173
Chapter 2 Test p.179

Chapter 3

Exponential And Logarithmic Functions

3.1 Exponential Functions and Their Graphs Exponential Functions and Their Graphs p.193
3.2 Logarithmic Functions and Their Graphs Logarithmic Functions and Their Graphs p.203
3.3 Properties of Logarithms Properties of Logarithms p.211
3.4 Solving Exponential and Logarithmic Equations Solving Exponential and Logarithmic Functions p.221
3.5 Exponential and Logarithmic Models Exponential and Logarithmic Models p.232
3.6 Nonlinear Models Nonlinear Models p.242
Chapter 3 Review Exercises p.247
Chapter 3 Test p.252
Chapter 1-3 Cumulative Test p.253

Chapter 4

Trigonometric Functions

4.1 Radian and Degree Measure Radian and Degree Measure p.265
4.2 Trigonometric Functions: The Unit Circle Trigonometric Functions: The Unit Circle p.274
4.3 Right Triangle Trigonometry Right Triangle Trigonometry p.284
4.4 Trigonometric Functions of Any Angle Trigonometric Functions of Any Angle p.294
4.5 Graphs of Sine and Cosine Functions Graphs of Sine and Cosine Functions p.304
4.6 Graphs of Other Trigonometric Functions Graphs of Other Trigonometric Functions p.316
4.7 Inverse Trigonometric Functions Inverse Trigonometric Functions p.327
4.8 Applications and Models Applications and Models p.337
Chapter 4 Review Exercises p.344
Chapter 4 Test p.349

Chapter 5

Analytic Trigonometry

5.1 Using Fundamental Identities Using Fundamental Identities p.357
Vocabulary Check p.357
5.2 Verifying Trigonometric Identities Vocabulary Check p.365
Verifying Trigonmetric Identities p.365
5.3 Solving Trigonometric Equations Vocabulary Check p.376
Solving Trigonometric Equations p.376
5.4 Sum and Difference Formulas Vocabulary Check p.384
Sum and Difference Formulas p.384
5.5 Multiple-Angle and Product-to-Sum Formulas Vocabulary Check p.394
Multiple-Angle and Product-to-Sum Formulas p.394
Chapter 5 Review Exercises p.400
Chapter 5 Test p.403

Chapter 6

Additional Topics In Trigonometry

6.1 Law of Sines Law of Sines p.414
6.2 Law of Cosines Law of Cosines p.421
6.3 Vectors in the Plane Vectors in the Plane p.433
6.4 Vectors and Dot Products Vectors and Dot Products p.445
6.5 Trigonometric Form of a Complex Number Trigonometric Form of a Complex Number p.456
Chapter 6 Review Exercises p.461
Chapter 6 Test p.465
4-6 Cumulative Test p.466

Chapter 7

Linear System And Matrices

7.1 Solving Systems of Equations Exercises p.481
7.2 Systems of Linear Equations in Two Variables Exercises p.491
7.3 Multivariable Linear Systems Exercises p.505
7.4 Matrices and Systems of Equations Exercises p.521
7.5 Operations with Matrices Exercises p.536
7.6 The Inverse of a Square Matrix Exercises p.547
7.7 The Determinant of a Square Matrix Exercises p.556
7.8 Application of Matrices and Determinants Exercises p.567
Review Exercises p.570
Chapter Test p.576

Chapter 8

Sequences, Series, And Probability

8.1 Sequences and Series Exercises p.587
8.2 Arithmetric Sequences and Partial Sums Exercises p.598
8.3 Geometric Sequences and Series Exercises p.607
8.4 Mathematical Induction Exercises p.617
8.5 The Binomial Theorem Exercises p.624
8.6 Counting Principles Exercises p.634
8.7 Probability Exercises p.645
Review Exercises p.651
Chapter Test p.655

Chapter 9

Topics In Analytic Geometry

9.1 Circles and Parabolas Exercises p.667
9.2 Ellipses Exercises p.677
9.3 Hyperbolas Exercises p.687
9.4 Rotation and Systems of Quadratic Equations Exercises p.697
9.5 Parametric Equations Exercises p.704
9.6 Polar Coordinates Exercises p.711
9.7 Graphs of Polar Equations Exercises p.720
9.8 Polar Equations of Conics Exercises p.726
Review Exercises p.730
Chapter Test p.734
Chapter 7-9 Cumulative Test p.735

Chapter 10

Analytic Geometry In Three Dimensions

10.1 The Three-Dimensional Coordinate System Exercises p.747
10.2 Vectors in Space Exercises p.755
10.3 The Cross Product of Two Vectors Exercises p.762
10.4 Lines and Planes in Space Exercises p.771
Review Exercises p.774
Chapter Test p.776

Chapter 11

Limits And An Introduction To Calculus

11.1 Introduction to Limits Exercises p.788
11.2 Techniques for Evaluating Limits Exercises p.798
11.3 The Tangent Line Problem Exercises p.808
11.4 Limits at Infinity and Limits of Sequences Exercises p.817
11.5 The Area Problem Exercises p.826
Review Exercises p.829
Chapter Test p.832
Chapter 10-11 Cumulative Review p.833
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